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Finding the Fourth Proportional to 5,103.65, 7,649.06 and 2,329.81

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Solution

The fourth proportional to 5,103.65, 7,649.06 and 2,329.81 is: 3,491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.65 : 7,649.06 = 2,329.81 : x
  2. Step 2: Convert to fraction form
    5,103.65/7,649.06 = 2,329.81/x
  3. Step 3: Cross multiply
    5,103.65x = 7,649.06 × 2,329.81
  4. Step 4: Simplify right side
    5,103.65x = 17,820,856.48
  5. Step 5: Solve for x
    x = 17,820,856.48/5,103.65
  6. Step 6: Final answer
    x = 3,491.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.